Eureka Math Lesson 16 Homework 5.4 Answer Key ~upd~ Review

Here is the comprehensive answer key and step-by-step guide for Eureka Math Grade 5, Module 4, Lesson 16 Homework. 📌 Lesson Overview

Objective: Solve word problems using tape diagrams and fraction-by-fraction multiplication. Strategy: Read-Draw-Write (RDW). 📝 Problem 1 Question: Anthony bought an board. He cut off 34three-fourths of the board to build a shelf, and gave 13one-third

of the rest to his brother for an art project. How many inches long was the piece Anthony gave to his brother? Step 1: Read and Understand Total length of the board = Amount cut for the shelf = 34three-fourths of the board. Amount given to his brother = 13one-third of the remaining part. Goal: Find the answer in inches. Step 2: Draw a Tape Diagram Draw a long rectangle to represent the whole Divide the tape diagram into equal units (since the shelf uses 34three-fourths Shade or label of those units as the "shelf". unit left over represents the "rest" of the board. The brother gets 13one-third of that remaining unit. Step 3: Solve (Write) First, let's find out how long that remaining unit is in feet: Total board = Now, convert that remaining piece into inches: Finally, calculate the portion given to the brother: The brother gets 13one-third of the remaining

Final Answer: The piece of board Anthony gave to his brother was long. 📝 Problem 2

Question: Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths ( 58five-eighths ) of the votes were for blue, 59five-nineths of the remaining votes were for green, and the remaining votes were for red. a. How many total votes were cast? b. How many votes were for blue? c. How many votes were for green? Step 1: Read and Understand Votes for Blue = 58five-eighths of the total. Votes for Green = 59five-nineths of the rest. Votes for Red = The final Step 2: Draw a Tape Diagram Draw a tape diagram and split it into equal units to represent the total votes. of those units as Blue. This leaves units as the remainder. 59five-nineths of the remaining units, we need to partition each of those remaining units into smaller sub-units. This gives us a total of sub-units making up the remainder. of those sub-units as Green. The remaining sub-units belong to Red, and we know those sub-units equal votes. Step 3: Solve (Write) Solve for Part A (Total Votes): The diagram shows that small sub-units = Since the remainder was split into sub-units, the original large unit is equal to small sub-units. The whole tape diagram had large units. Solve for Part B (Blue Votes): Blue received 58five-eighths of the total. This is large units. Solve for Part C (Green Votes): Green received small sub-units. Eureka math grade 5 module 4 lesson 16 homework

The primary focus of Eureka Math Grade 5 Module 4 Lesson 16 is solving multi-step word problems using tape diagrams and fraction-by-fraction multiplication. Key Solutions and Concepts

In this lesson, students learn to model complex scenarios where they must find a fraction of a remaining part.

Problem Modeling: Use tape diagrams to visualize the "whole" and then subdivide it to show the parts mentioned in the word problem.

The "Remaining" Concept: Many problems involve taking a fraction of what is left after an initial amount is removed. For example, if 58five-eighths of votes are for blue, and 59five-nineths

of the remaining are for green, you first find the remainder ( 38three-eighths ) before calculating the second part. Common Problem Types:

Election/Vote distribution: Calculating total votes based on specific counts for one category (e.g., "48 votes for red").

Measurement Conversion: Converting mixed unit measurements (like seconds to minutes or months to years) and expressing answers as mixed numbers. Eureka Math Lesson 16 Homework 5.4 Answer Key

Collection items: Finding a total number of items (like rocks or cookies) based on fractional parts. Where to Find Full Answer Keys

For a complete step-by-step breakdown of every problem in the Lesson 16 homework, you can access these specific educational resources: EngageNY Grade 5 Module 4 Lesson 16

Here’s the typical content for Grade 5, Module 4, Lesson 16 (which focuses on solving word problems involving fraction by fraction multiplication), along with the correct answers and explanations.

Why This Lesson Matters in Real Life

Lesson 16 homework isn’t abstract. When you calculate a 20% off sale (( \frac15 ) off), when you measure ( \frac23 ) cup of flour, or when you figure out how much paint is left in ( \frac34 ) of a gallon — you’re doing exactly what Lesson 16 practices.

Question 2:

When solves the equation $1.24 \times 36$, Sarah does the following:

• Sarah's work: $36 \times 1 = 36$. $36 \times 0.2 = 7.2$. $36 \times 0.04 = 1.44$. $36 + 7.2 + 1.44 = 44.64$.

• Does she get the correct answer?

  • Answer: Yes.

• Explain how Sarah solved the problem.

  • Explanation: Sarah used the distributive property. She broke the decimal $1.24$ into $1 + 0.2 + 0.04$. She multiplied $36$ by each of those parts separately and then added the products together to find the total.

Question 4: Multi-Step Word Problem

Problem: Ten team members are sharing a pizza. The pizza has been cut into 8 equal slices. If each member eats $\frac12$ of a slice, what fraction of the pizza has been eaten?

• Analysis: We are finding a part of a part. We have 10 members eating $\frac12$ slice each. Or, more commonly in this lesson format, the question might ask: "If $\frac34$ of the students share $\frac12$ of a sandwich..."
• Let's solve for the specific phrasing often found in this lesson regarding sharing:
  • Scenario: 3 friends share $\frac12$ of a candy bar equally. How much does each friend get?
  • Diagram: Draw a rectangle. Split in half (shade one half). Split the shaded half into 3 equal units for the friends.
  • Calculation: $\frac12 \div 3 = \frac12 \times \frac13 = \frac16$.
  • Answer: $\frac16$ of the whole candy bar.

(Note: Specific numbers in Question 4 vary by version/year, but the method remains: Draw the whole, partition by the first denominator, shade the fraction, partition the shaded part by the second number.)

What is Covered in Eureka Math Grade 5 Module 4 Lesson 16?

Before diving into the answers, let’s clarify the objective. Lesson 16 teaches students to solve word problems involving fraction-by-fraction multiplication. Here is the comprehensive answer key and step-by-step

By this point, students have moved beyond multiplying fractions by whole numbers. Now, they must tackle problems like: "Tom has 2/3 of a pound of cheese. He uses 1/4 of that cheese for a sandwich. How much cheese did he use?"

The key concept is the phrase "of" — in math, "of" usually means multiplication. The lesson also reinforces drawing tape diagrams (strip models) to visualize the problem.

Where to find the official answer key (legally):

• Eureka Math Teacher Edition (Module 4) – includes all lesson answers.
• Great Minds website (greatminds.org) – free PDFs for some resources.
• Embarc.online – has answer keys for many Eureka lessons (search "Grade 5 Module 4 Lesson 16").
• Your child’s teacher or school portal – they often post answer keys for homework checks.

Eureka Math Grade 5 Module 4 Lesson 16 , the primary objective is to solve multi-step word problems using tape diagrams fraction-by-fraction multiplication Answer Key for Lesson 16 Homework

The following solutions are based on common problems found in the Lesson 16 homework set: 1. Convert Units and Express as Mixed Numbers 165 seconds = ______ minutes. 33 months = ______ years. Amazon Web Services 2. Word Problem: The Relay Race

Four members of a track team run a relay race in 165 seconds. How many minutes did it take? Divide total seconds by 60 ( Simplify the resulting fraction. It took them to run the race. Amazon Web Services 3. Word Problem: The Wooden Board Anthony had an 8-foot board. He cut off three-fourths of it and gave

piece to his brother. How many inches did he give his brother? Step 1 (Find Remainder): If he cut off three-fourths one-fourth of the 8-foot board remains. Step 2 (Find Brother's Share): of the remaining 2 feet is two-thirds of a foot. Step 3 (Convert to Inches): Anthony gave his brother of the board. Step-by-Step Problem Solving Guide 1. Draw a Tape Diagram

Represent the "whole" amount as one long bar. If the problem mentions a total (e.g., 60 cookies), label the entire bar with that value. 2. Partition the Whole

Divide the bar into equal units based on the denominator of the first fraction. For example, if "selling two-thirds of the cookies," divide the bar into 3 equal units. Calculation: (each unit equals 20 cookies). 3. Calculate the Remainder

Identify what is left after the first action. In the cookie example, if two-thirds (or 20 cookies) remains. 4. Solve the Final Fraction

If the problem asks for a fraction of the remainder (e.g., " three-fourths

of the remainder"), divide the remaining section of your tape diagram into new smaller units. three-fourths of 20 cookies Final Answer Summary The core strategy for Lesson 16 is using tape diagrams Why This Lesson Matters in Real Life Lesson

Eureka Math Grade 5 Module 4 Lesson 16 focuses on solving word problems by using visual models and arithmetic. Below are the key features and concepts covered in this lesson's homework:

Primary Objective: Solving multi-step word problems involving fraction-by-fraction multiplication.

Visual Modeling: Extensive use of tape diagrams to represent parts of a whole and clarify the steps needed to find a solution. Problem Types:

Scenarios involving "fractions of a remainder" (e.g., "half of the remaining board"). Comparing fractions of different whole quantities.

Integration of Operations: Applying knowledge of addition, subtraction, and multiplication within the context of word problems.

Challenge Level: This specific lesson is often described as quite challenging because it requires students to translate complex verbal descriptions into accurate mathematical models. Lesson 16 Homework Example

One typical problem from this homework involves Anthony buying an 8-foot board, cutting off 14one-fourth of it, and giving 13one-third of the remainder away. Step 1: Model the 8-foot board with a tape diagram. Step 2: Calculate the first cut (e.g., Step 3: Find the remainder ( feet) and take a fraction of that remainder.

For detailed video walkthroughs and step-by-step guidance, you can refer to resources like Eureka Math Homework Help on YouTube or EngageNY Lesson 16 Guidance.

If you'd like me to walk through a specific problem from this homework set: Provide the text of the problem

Share a photo or description of the diagram you're working on

Mention which specific step is causing confusion (e.g., the tape diagram setup or the final multiplication) Eureka math grade 5 module 4 lesson 16 homework

This lesson typically focuses on problem solving with tape diagrams and fraction multiplication/division. The core skill is using a tape diagram to find the whole when given a part, or to visualize the relationship between fractions.

Here is the answer key and step-by-step guide for the standard homework set.